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1 | 27 | Hazel and her father both love going on fishing trips. This year, they planned to go around the Great Lakes for a unique fishing experience. Their first stop is Lake Ontario. Hazel and her father decided to have a contest between them. Hazel caught 24 salmons and her dad caught some salmons. They caught a total of 51 salmons. How many salmons did her dad catch? | Hazel and her father both love going on fishing trips. This year, they planned to go around the Great Lakes for a unique fishing experience. Their first stop is Lake Ontario. Hazel and her father decided to have a contest between them. Hazel caught 24 salmons and her dad caught some salmons. They caught a total of 51 salmons. How many salmons did her dad catch? |
1 | 5 | Dorothy is 3 times as old as her sister. In some years, she will be twice as old as her sister. If Dorothy is 15 years old now, how many years later will she be twice as old as her sister? | Dorothy is 3 times as old as her sister. In some years, she will be twice as old as her sister. If Dorothy is 15 years old now, how many years later will she be twice as old as her sister? |
1 | 64 | A jar contains a mixture of liquids A and B in the ratio 4 : 1. When 40 L of the mixture is replaced with liquid B, the ratio becomes 2 : 3. How many liters of liquid A was present in the mixture initially? | A jar contains a mixture of liquids A and B in the ratio 4 : 1. When 40 L of the mixture is replaced with liquid B, the ratio becomes 2 : 3. How many liters of liquid A was present in the mixture initially? |
1 | 131 | Luke was sorting his spare change into piles of different coins. He had six piles of quarters, four piles of dimes, six piles of nickels, three piles of pennies, and two piles of half dollars. The distribution of coins in the piles was not uniform:
- For the quarter piles: There were four quarters in the first two piles, six quarters in the next three piles, and eight quarters in the final pile.
- For the dime piles: There were three dimes in the first pile, five dimes in the second pile, and two dimes in the last two piles.
- For the nickel piles: There were five nickels in the first three piles, seven nickels in the next two piles, and ten nickels in the final pile.
- For the penny piles: There were twelve pennies in the first pile, eight pennies in the second pile, and twenty pennies in the third pile.
- For the half dollar piles: There were two half dollars in the first pile and four half dollars in the second pile.
How many coins did he have total? | Luke was sorting his spare change into piles of different coins. He had six piles of quarters, four piles of dimes, six piles of nickels, three piles of pennies, and two piles of half dollars. The distribution of coins in the piles was not uniform:
- For the quarter piles: There were four quarters in the first two piles, six quarters in the next three piles, and eight quarters in the final pile.
- For the dime piles: There were three dimes in the first pile, five dimes in the second pile, and two dimes in the last two piles.
- For the nickel piles: There were five nickels in the first three piles, seven nickels in the next two piles, and ten nickels in the final pile.
- For the penny piles: There were twelve pennies in the first pile, eight pennies in the second pile, and twenty pennies in the third pile.
- For the half dollar piles: There were two half dollars in the first pile and four half dollars in the second pile.
How many coins did he have total? |
1 | 24 | In a garden, 26 trees are planted at equal distances along a yard 600 meters long, one tree being at each end of the yard. What is the distance between two consecutive trees? | In a garden, 26 trees are planted at equal distances along a yard 600 meters long, one tree being at each end of the yard. What is the distance between two consecutive trees? |
1 | \$71.40 | Cindy has her eye on a sundress but thinks it is too expensive. It goes on sale for 15% less than the original price. Before Cindy can buy the dress, however, the store raises the new price by 25%. The dress cost some amount after it went on sale for 15% off. The difference between the original price and the final price is $5.25. What was the price of the dress after the initial discount? | Cindy has her eye on a sundress but thinks it is too expensive. It goes on sale for 15% less than the original price. Before Cindy can buy the dress, however, the store raises the new price by 25%. The dress cost some amount after it went on sale for 15% off. The difference between the original price and the final price is $5.25. What was the price of the dress after the initial discount? |
1 | 8 | Nancy went to 9 football games this month. She went to some games last month, and plans to go to 7 games next month. She paid 3 dollars for the tickets. Nancy will attend 24 games in all. How many games did she attend last month? | Nancy went to 9 football games this month. She went to some games last month, and plans to go to 7 games next month. She paid 3 dollars for the tickets. Nancy will attend 24 games in all. How many games did she attend last month? |
1 | 3 | For the symbol, m ” n = n ^ 2 − m for all values of m and n. What is the value of 6 ” 3? | For the symbol, m ” n = n ^ 2 − m for all values of m and n. What is the value of 6 ” 3? |
1 | 32 | Jinwoo and Seongmin can do 7/12 of the work if they do something for 8 days together. The two of them did this together for 8 days, and the rest was done by Jinwoo alone for 10 days. How many days will it take if Seongmin finishes this task by himself from the beginning? | Jinwoo and Seongmin can do 7/12 of the work if they do something for 8 days together. The two of them did this together for 8 days, and the rest was done by Jinwoo alone for 10 days. How many days will it take if Seongmin finishes this task by himself from the beginning? |
1 | \$41 | Yanna bought ten shirts at $5 each and three pairs of sandals at $3 each. How much change did she get back if she gave a one hundred dollar bill? | Yanna bought ten shirts at $5 each and three pairs of sandals at $3 each. How much change did she get back if she gave a one hundred dollar bill? |
1 | 115 | a, b, and c completed a piece of work. a worked for 6 days, b for 9 days, and c for 4 days. Their daily wages were in the ratio of 3 : 4 : 5. Their total earning was Rs. 1702. What is the daily wage of c? | a, b, and c completed a piece of work. a worked for 6 days, b for 9 days, and c for 4 days. Their daily wages were in the ratio of 3 : 4 : 5. Their total earning was Rs. 1702. What is the daily wage of c? |
1 | 16 | A florist had 37 roses. If she sold a certain number of them, and then later picked 19 more, she would have 40 roses. How many roses did she sell? | A florist had 37 roses. If she sold a certain number of them, and then later picked 19 more, she would have 40 roses. How many roses did she sell? |
1 | 21.6 | two trains 180 m and 360 m long run at the speed of 60 kmph and 30 kmph in opposite directions in parallel tracks . the time which they take to cross each other is ? | two trains 180 m and 360 m long run at the speed of 60 kmph and 30 kmph in opposite directions in parallel tracks . the time which they take to cross each other is ? |
1 | 60 | Two trains are approaching each other at a certain speed. The length of each train is 1/6 miles. When the two locomotives (engines) meet, it takes 10 seconds for them to pass each other completely. What is the speed of each train in mph? | Two trains are approaching each other at a certain speed. The length of each train is 1/6 miles. When the two locomotives (engines) meet, it takes 10 seconds for them to pass each other completely. What is the speed of each train in mph? |
1 | 190 | Two of the numbers 3, 5, and 9 were drawn and used only once to create the largest two-digit number. Find the number twice as large as the two-digit number you created. | Two of the numbers 3, 5, and 9 were drawn and used only once to create the largest two-digit number. Find the number twice as large as the two-digit number you created. |
1 | 2340 | Yeon has three times as many watermelon seeds as Gwi. Gwi has 40 more watermelon seeds than Bom. Eun has twice the number of watermelon seeds as Gwi. If Bom has 300 watermelon seeds, how many seeds do Bom, Gwi, Yeon, and Eun have together? | Yeon has three times as many watermelon seeds as Gwi. Gwi has 40 more watermelon seeds than Bom. Eun has twice the number of watermelon seeds as Gwi. If Bom has 300 watermelon seeds, how many seeds do Bom, Gwi, Yeon, and Eun have together? |
1 | 28 | Ryan is considering buying a new multivitamin brand. Each pill has 50 mg of Vitamin A in it. The recommended daily serving of Vitamin A is 200 mg. How many pills does Ryan need to hit the recommended amount for the week? | Ryan is considering buying a new multivitamin brand. Each pill has 50 mg of Vitamin A in it. The recommended daily serving of Vitamin A is 200 mg. How many pills does Ryan need to hit the recommended amount for the week? |
1 | 240 | A picnic attracts some persons. There are 40 more men than women, and 40 more adults than children. There are 90 men at this picnic. How many persons are at this picnic? | A picnic attracts some persons. There are 40 more men than women, and 40 more adults than children. There are 90 men at this picnic. How many persons are at this picnic? |
1 | 100 | The ratio of buses to cars on River Road is 1 to 10. If there are 90 fewer buses than cars on River Road, how many cars are on River Road? | The ratio of buses to cars on River Road is 1 to 10. If there are 90 fewer buses than cars on River Road, how many cars are on River Road? |
1 | 10 | There were 6 roses in the vase. Mary cut some roses from her flower garden and added them to the vase. After adding the roses, there are now 16 roses in the vase. How many roses did Mary cut from her flower garden? | There were 6 roses in the vase. Mary cut some roses from her flower garden and added them to the vase. After adding the roses, there are now 16 roses in the vase. How many roses did Mary cut from her flower garden? |
1 | 20\% | If the price of sugar rises from Rs. 6 per kg to Rs. 7.50 per kg, a person, to have no increase in the expenditure on sugar, will have to reduce his consumption of sugar by what percentage? | If the price of sugar rises from Rs. 6 per kg to Rs. 7.50 per kg, a person, to have no increase in the expenditure on sugar, will have to reduce his consumption of sugar by what percentage? |
1 | 30 | When there are 6 students A, B, C, D, E, and F, find the number of ways to select 1 president and 1 secretary. | When there are 6 students A, B, C, D, E, and F, find the number of ways to select 1 president and 1 secretary. |
1 | 84 | Henry and Margo both began traveling around a circular track. Henry is riding his bike, and Margo is walking. It takes Henry 7 minutes to make it all the way around, and Margo takes 12 minutes. How much time will pass until they meet at the starting line? | Henry and Margo both began traveling around a circular track. Henry is riding his bike, and Margo is walking. It takes Henry 7 minutes to make it all the way around, and Margo takes 12 minutes. How much time will pass until they meet at the starting line? |
1 | 96\% | marts income is 60 percent more than tims income and tims income is 40 percent less than juans income . what percentage of juans income is marts income | marts income is 60 percent more than tims income and tims income is 40 percent less than juans income . what percentage of juans income is marts income |
1 | 167.5 | Raman mixed 48 kg of butter at Rs. 150 per kg, hoping to make a profit of 20%, 36 kg of butter at Rs. 125 per kg, hoping to make a profit of 30%, and 24 kg of butter at Rs. 100 per kg, hoping to make a profit of 50%. At what overall price per kg should he sell the mixture to realize his desired profit percentages for each type of butter? | Raman mixed 48 kg of butter at Rs. 150 per kg, hoping to make a profit of 20%, 36 kg of butter at Rs. 125 per kg, hoping to make a profit of 30%, and 24 kg of butter at Rs. 100 per kg, hoping to make a profit of 50%. At what overall price per kg should he sell the mixture to realize his desired profit percentages for each type of butter? |
1 | 9 | Jane is sewing sequins onto her trapeze artist costume. She sews 6 rows of 8 blue sequins each, 5 rows of 12 purple sequins each, and some rows of 6 green sequins each. She adds a total of 162 sequins. How many rows of green sequins does she sew? | Jane is sewing sequins onto her trapeze artist costume. She sews 6 rows of 8 blue sequins each, 5 rows of 12 purple sequins each, and some rows of 6 green sequins each. She adds a total of 162 sequins. How many rows of green sequins does she sew? |
1 | 10 | Working alone at its constant rate, machine A produces x boxes in a certain amount of time and working alone at its constant rate, machine B produces 2x boxes in 5 minutes. It takes machines A and B, working simultaneously at their respective constant rates, 20 minutes to produce 10x boxes. How long does it take machine A to produce x boxes? | Working alone at its constant rate, machine A produces x boxes in a certain amount of time and working alone at its constant rate, machine B produces 2x boxes in 5 minutes. It takes machines A and B, working simultaneously at their respective constant rates, 20 minutes to produce 10x boxes. How long does it take machine A to produce x boxes? |
1 | 12.1 | how long does a train 110 m long running at the speed of 72 km / hr takes to cross a bridge 132 m length | how long does a train 110 m long running at the speed of 72 km / hr takes to cross a bridge 132 m length |
1 | 509.8 | What is the molecular weight of 5 moles of Aluminum oxide? | What is the molecular weight of 5 moles of Aluminum oxide? |
1 | 45 | Andrea needs some rhinestones to finish an art project. She bought a third of what she needed and found a fifth of what she needed in her supplies. She still needs 21 rhinestones. How many rhinestones does she need in total for the art project? | Andrea needs some rhinestones to finish an art project. She bought a third of what she needed and found a fifth of what she needed in her supplies. She still needs 21 rhinestones. How many rhinestones does she need in total for the art project? |
1 | 25 | right triangle pqr is the base of the prism in the figure above . if pq = pr = â ˆ š 5 and the height of the prism is 10 , what is the volume of the prism ? | right triangle pqr is the base of the prism in the figure above . if pq = pr = â ˆ š 5 and the height of the prism is 10 , what is the volume of the prism ? |
1 | 48 | a cement mixture is composed of 3 elements . by weight , 1 / 3 of the mixture is sand , 1 / 2 of the mixture is water , and the remaining 8 pounds of the mixture is gravel . what is the weight of the entire mixture in pounds ? | a cement mixture is composed of 3 elements . by weight , 1 / 3 of the mixture is sand , 1 / 2 of the mixture is water , and the remaining 8 pounds of the mixture is gravel . what is the weight of the entire mixture in pounds ? |
1 | 8100 | In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 81 more candidates got selected than State A. What was the number of candidates appeared from each state? | In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 81 more candidates got selected than State A. What was the number of candidates appeared from each state? |
1 | 58.4 | The average weight of a class of 20 boys was calculated to be a certain value, and it was later found that one weight was misread as 56 kg instead of 60 kg. The correct average weight is 58.6 kgs. What was the initially calculated average weight? | The average weight of a class of 20 boys was calculated to be a certain value, and it was later found that one weight was misread as 56 kg instead of 60 kg. The correct average weight is 58.6 kgs. What was the initially calculated average weight? |
1 | 240 | One fourth of one third of two fifth of a number is 20. What will be 40% of that number? | One fourth of one third of two fifth of a number is 20. What will be 40% of that number? |
1 | \$11.53 | Jim's taxi service charges an initial fee of $2.35 at the beginning of a trip and an additional charge of $0.35 for each 2/5 of a mile traveled. During rush hour, the rates change: the initial fee remains the same, but the cost per 2/5 of a mile increases by 20%. Additionally, traffic delays cause an average additional charge of $1.50 per mile traveled during rush hour. What is the total charge for a trip of 3.6 miles during rush hour, taking into account the increased rate for miles traveled and additional charges for traffic delays? | Jim's taxi service charges an initial fee of $2.35 at the beginning of a trip and an additional charge of $0.35 for each 2/5 of a mile traveled. During rush hour, the rates change: the initial fee remains the same, but the cost per 2/5 of a mile increases by 20%. Additionally, traffic delays cause an average additional charge of $1.50 per mile traveled during rush hour. What is the total charge for a trip of 3.6 miles during rush hour, taking into account the increased rate for miles traveled and additional charges for traffic delays? |
1 | \$10 | Randy had some money. He spent some amount buying his lunch. He spent a quarter of the money he had left on an ice cream cone that cost $5. Randy had $30 at first. How much did Randy spend on his lunch? | Randy had some money. He spent some amount buying his lunch. He spent a quarter of the money he had left on an ice cream cone that cost $5. Randy had $30 at first. How much did Randy spend on his lunch? |
1 | 25 | A motorist thought she had just enough cash to buy 12 gallons of gas. But the price was higher than she had expected, so she could afford only 10 gallons. The gas cost 150 cents per gallon. How much higher was the price per gallon than she had expected? | A motorist thought she had just enough cash to buy 12 gallons of gas. But the price was higher than she had expected, so she could afford only 10 gallons. The gas cost 150 cents per gallon. How much higher was the price per gallon than she had expected? |
1 | 212 | Water boils at a certain temperature in °F or 100 °C and ice melts at 32 °F or 0 °C. If the temperature of a pot of water is 55 °C, and the temperature of the pot of water in °F is 131, what is the boiling point of water in °F? | Water boils at a certain temperature in °F or 100 °C and ice melts at 32 °F or 0 °C. If the temperature of a pot of water is 55 °C, and the temperature of the pot of water in °F is 131, what is the boiling point of water in °F? |
1 | 88 | There were 349 pieces of candy in a bowl. Talitha took 108 pieces and Solomon took 153 pieces. How many pieces of candy remain in the bowl? | There were 349 pieces of candy in a bowl. Talitha took 108 pieces and Solomon took 153 pieces. How many pieces of candy remain in the bowl? |
1 | 4 | If p is a prime number greater than 3 and is also a member of the sequence {a_n} such that a_n = a_(n-1) + 2q, where q is the nth prime number in an increasing order, find the remainder when p ^ 2 + 15 is divided by 12. | If p is a prime number greater than 3 and is also a member of the sequence {a_n} such that a_n = a_(n-1) + 2q, where q is the nth prime number in an increasing order, find the remainder when p ^ 2 + 15 is divided by 12. |
1 | 9 | The cafeteria had five hundred and twenty-five apples. For lunch they handed out four hundred and fifteen to students and decided to use the rest to make pies. If each pie takes twelve apples, how many pies could they make? | The cafeteria had five hundred and twenty-five apples. For lunch they handed out four hundred and fifteen to students and decided to use the rest to make pies. If each pie takes twelve apples, how many pies could they make? |
1 | 6 | Andre catches 8 ladybugs on Monday and 5 ladybugs on Tuesday. Each ladybug has a certain number of dots. There are 78 dots in total for all the ladybugs. How many dots does each ladybug have? | Andre catches 8 ladybugs on Monday and 5 ladybugs on Tuesday. Each ladybug has a certain number of dots. There are 78 dots in total for all the ladybugs. How many dots does each ladybug have? |
1 | 10 | A box measuring 35 inches long by 20 inches wide by some inches deep is to be filled entirely with identical cubes. No space is to be left unfilled. The smallest number of cubes that can accomplish this objective is 56. What is the depth of the box? | A box measuring 35 inches long by 20 inches wide by some inches deep is to be filled entirely with identical cubes. No space is to be left unfilled. The smallest number of cubes that can accomplish this objective is 56. What is the depth of the box? |
1 | 200 | A train of a certain length crosses an electric pole in 3.3330666879982935 seconds, with its speed being 216 km/hr. How long is the train? | A train of a certain length crosses an electric pole in 3.3330666879982935 seconds, with its speed being 216 km/hr. How long is the train? |
1 | 12.68 | A hiker travels 250 km downstream in a river and 120 km upstream, taking 14 hours downstream and 16 hours upstream. The water current impacts the hiker's movements, and there is a constant wind blowing at 10 km/h along the river. What is the hiker's speed in still water without the impact of the wind and water current? | A hiker travels 250 km downstream in a river and 120 km upstream, taking 14 hours downstream and 16 hours upstream. The water current impacts the hiker's movements, and there is a constant wind blowing at 10 km/h along the river. What is the hiker's speed in still water without the impact of the wind and water current? |
1 | 8 | Amanda has two pieces of ribbon, one 8 inches long and the other of a certain length. To decorate an album, she cut them up to produce many pieces of ribbon that are all of the same length, with no ribbon left over. The greatest length, in inches, that she can make them is 8. What is the length of the second piece of ribbon? | Amanda has two pieces of ribbon, one 8 inches long and the other of a certain length. To decorate an album, she cut them up to produce many pieces of ribbon that are all of the same length, with no ribbon left over. The greatest length, in inches, that she can make them is 8. What is the length of the second piece of ribbon? |
1 | 14 | Given the equation a + 2b = 32, where |a| > 2, and a and b are both integers. The smallest possible value of a that can be used to solve the equation is 4. What is the value of b when a is at its smallest possible value? | Given the equation a + 2b = 32, where |a| > 2, and a and b are both integers. The smallest possible value of a that can be used to solve the equation is 4. What is the value of b when a is at its smallest possible value? |
1 | 4500 | Maya loves to read books. Last week she read 5 books. Each book had 300 pages of text. This week she read twice as much. How many pages did Maya read in total? | Maya loves to read books. Last week she read 5 books. Each book had 300 pages of text. This week she read twice as much. How many pages did Maya read in total? |
1 | 24 | Katie had 11 songs on her mp3 player. She deleted 7 old songs from it and then added some new songs. She now has 28 songs on her mp3 player. How many new songs did she add? | Katie had 11 songs on her mp3 player. She deleted 7 old songs from it and then added some new songs. She now has 28 songs on her mp3 player. How many new songs did she add? |
1 | 66 | The length of a rectangular plot is 32 meters more than its breadth. If the cost of fencing the plot at 26.50 per meter is Rs. 5300, what is the length of the plot in meters? | The length of a rectangular plot is 32 meters more than its breadth. If the cost of fencing the plot at 26.50 per meter is Rs. 5300, what is the length of the plot in meters? |
1 | 8 | The average of 6 quantities is a certain number. The average of 4 of them is 5. The average of the remaining 2 numbers is 14. What is the average of all 6 quantities? | The average of 6 quantities is a certain number. The average of 4 of them is 5. The average of the remaining 2 numbers is 14. What is the average of all 6 quantities? |
1 | 4 | Mark plants some strawberries in his backyard. Every month, the number of strawberry plants doubles. After 3 months, Mark digs up some strawberry plants and gives them to his friend. He initially planted 3 strawberry plants and still has 20 strawberry plants. How many strawberry plants did Mark give to his friend? | Mark plants some strawberries in his backyard. Every month, the number of strawberry plants doubles. After 3 months, Mark digs up some strawberry plants and gives them to his friend. He initially planted 3 strawberry plants and still has 20 strawberry plants. How many strawberry plants did Mark give to his friend? |
1 | 20 | For many years, the number of sharks in Pelican Bay has been twice the number of Pelicans in Shark Bite Cove. But today scientists say one-third of the Pelicans in Shark Bite Cove have moved to Pelican Bay. If there are still 60 sharks in Pelican Bay, how many Pelicans remain in Shark Bite Cove? | For many years, the number of sharks in Pelican Bay has been twice the number of Pelicans in Shark Bite Cove. But today scientists say one-third of the Pelicans in Shark Bite Cove have moved to Pelican Bay. If there are still 60 sharks in Pelican Bay, how many Pelicans remain in Shark Bite Cove? |
1 | 8 | 15 times a positive integer is more than its square by 56. What is the positive integer? | 15 times a positive integer is more than its square by 56. What is the positive integer? |
1 | 48 | John had a stock of 1400 books in his bookshop. He sold 62 on Monday, 62 on Tuesday, 60 on Wednesday, some books on Thursday, and 40 on Friday. 80.57142857142857% of the books were not sold. How many books did he sell on Thursday? | John had a stock of 1400 books in his bookshop. He sold 62 on Monday, 62 on Tuesday, 60 on Wednesday, some books on Thursday, and 40 on Friday. 80.57142857142857% of the books were not sold. How many books did he sell on Thursday? |
1 | 1390 | Homer scored 400 points on the first try in a Candy crush game, 70 points fewer on the second try, and twice the number of points she scored on the second try on the third try. What's the total number of points that she scored in all tries? | Homer scored 400 points on the first try in a Candy crush game, 70 points fewer on the second try, and twice the number of points she scored on the second try on the third try. What's the total number of points that she scored in all tries? |
1 | 20 | Monroe made 200 granola bars for her family. She and her husband ate 80, and the rest was divided equally among her children. If there are 6 children in the family, how many granola bars did each child receive? | Monroe made 200 granola bars for her family. She and her husband ate 80, and the rest was divided equally among her children. If there are 6 children in the family, how many granola bars did each child receive? |
1 | \$37 | At the patisserie, a single layer cake slice is $4 and a double layer cake slice is $7. Dusty buys 7 single layer cake slices and 5 double layer cake slices. If he pays with a $100 bill, how much change does he receive? | At the patisserie, a single layer cake slice is $4 and a double layer cake slice is $7. Dusty buys 7 single layer cake slices and 5 double layer cake slices. If he pays with a $100 bill, how much change does he receive? |
1 | 5\% | Gina tipped a certain percentage on a bill of $26. If good tippers tip at least 20%, Gina would have to tip 390 more cents than normal to be considered a good tipper. What was the percentage of Gina's tip? | Gina tipped a certain percentage on a bill of $26. If good tippers tip at least 20%, Gina would have to tip 390 more cents than normal to be considered a good tipper. What was the percentage of Gina's tip? |
1 | 3.75 | The length of a room is 5.5 m and the width is some meters. The cost of paying the floor by slabs at the rate of Rs. 1000 per sq. meter is Rs. 20625. What is the width of the room? | The length of a room is 5.5 m and the width is some meters. The cost of paying the floor by slabs at the rate of Rs. 1000 per sq. meter is Rs. 20625. What is the width of the room? |
1 | 38 | Annie wants to know how many children will go trick or treating in their village. In her village, there are 9 blocks with varying numbers of children. On every odd-numbered block, there are 7 children, while on every even-numbered block, there are 5 children. Additionally, only children between the ages of 5 and 12 participate in trick or treating, which accounts for 70% of the children living on these blocks. How many children will go trick or treating in Annie's village? | Annie wants to know how many children will go trick or treating in their village. In her village, there are 9 blocks with varying numbers of children. On every odd-numbered block, there are 7 children, while on every even-numbered block, there are 5 children. Additionally, only children between the ages of 5 and 12 participate in trick or treating, which accounts for 70% of the children living on these blocks. How many children will go trick or treating in Annie's village? |
1 | 10 | Brad's car broke down on an isolated road. At the time, Brad was traveling with Jim and Marcus. So, the three decided to push the car back into town. For the first three miles, Brad steered as Jim and Marcus pushed at a speed of 6 miles per hour. Then, for the next 3 miles, Jim steered, as Brad and Marcus pushed at a speed of 3 miles per hour. For the last four miles, Marcus steered as Brad and Jim pushed at a speed of 8 miles per hour. It took 2 hours to push the car back to town. How far away was the town? | Brad's car broke down on an isolated road. At the time, Brad was traveling with Jim and Marcus. So, the three decided to push the car back into town. For the first three miles, Brad steered as Jim and Marcus pushed at a speed of 6 miles per hour. Then, for the next 3 miles, Jim steered, as Brad and Marcus pushed at a speed of 3 miles per hour. For the last four miles, Marcus steered as Brad and Jim pushed at a speed of 8 miles per hour. It took 2 hours to push the car back to town. How far away was the town? |
1 | 5 | One barnyard owl makes 5 hoot sounds per minute. If 20 hoots per minute are heard coming out of the barn, what is the difference between the number of hoots heard and the number of hoots that would be coming from 3 barnyard owls? | One barnyard owl makes 5 hoot sounds per minute. If 20 hoots per minute are heard coming out of the barn, what is the difference between the number of hoots heard and the number of hoots that would be coming from 3 barnyard owls? |
1 | 72 | Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May? | Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May? |
1 | 8\% | A 64-gallon solution of salt and water is 10% salt. To decrease the salt to a certain percentage of the volume, 16 gallons of water must be added. What is the final percentage of salt in the solution? | A 64-gallon solution of salt and water is 10% salt. To decrease the salt to a certain percentage of the volume, 16 gallons of water must be added. What is the final percentage of salt in the solution? |
1 | 70.93 | The total cost of a pair of pants and a belt was some amount. If the price of the pair of pants was 2.93 dollars less than the belt, and the price of the pair of pants was 34.0 dollars, what was the total cost of the pair of pants and the belt? | The total cost of a pair of pants and a belt was some amount. If the price of the pair of pants was 2.93 dollars less than the belt, and the price of the pair of pants was 34.0 dollars, what was the total cost of the pair of pants and the belt? |
1 | 20 | a and b can finish a work in 10 days while a alone can do the same work in some days. In how many days can a alone finish the work if b alone will complete the work in 20 days? | a and b can finish a work in 10 days while a alone can do the same work in some days. In how many days can a alone finish the work if b alone will complete the work in 20 days? |
1 | 27 | There were some pencils in the drawer. Nancy placed 45 more pencils in the drawer. Now there are 72 pencils in total in the drawer. How many pencils were there in the drawer initially? | There were some pencils in the drawer. Nancy placed 45 more pencils in the drawer. Now there are 72 pencils in total in the drawer. How many pencils were there in the drawer initially? |
1 | 121 | In preparation for the upcoming Olympics, Rita's swimming coach requires her to swim a total of 1,500 hours. Rita has already completed 50 hours of backstroke, 9 hours of breaststroke, and some hours of butterfly. She has therefore decided to dedicate 220 hours every month practicing freestyle and sidestroke. Rita has to fulfill her coach's requirements in 6 months. How many hours of butterfly has Rita completed? | In preparation for the upcoming Olympics, Rita's swimming coach requires her to swim a total of 1,500 hours. Rita has already completed 50 hours of backstroke, 9 hours of breaststroke, and some hours of butterfly. She has therefore decided to dedicate 220 hours every month practicing freestyle and sidestroke. Rita has to fulfill her coach's requirements in 6 months. How many hours of butterfly has Rita completed? |
1 | 20\% | If x is less than y by some percentage, then y exceeds x by 25%. What is the percentage by which x is less than y? | If x is less than y by some percentage, then y exceeds x by 25%. What is the percentage by which x is less than y? |
1 | 30 | A certain amount is subtracted from 40% of a number, and the result is 50. The number is 200. What is the amount that was subtracted? | A certain amount is subtracted from 40% of a number, and the result is 50. The number is 200. What is the amount that was subtracted? |
1 | 15 | Each cracker contains some calories and each cookie contains 50 calories. If Jimmy eats 7 cookies and 10 crackers, he consumes a total of 500 calories. How many calories does each cracker contain? | Each cracker contains some calories and each cookie contains 50 calories. If Jimmy eats 7 cookies and 10 crackers, he consumes a total of 500 calories. How many calories does each cracker contain? |
1 | \$614 | Mark got a 5% raise at his job. Before the raise, he earned 40 dollars per hour. He works 8 hours per day for 5 days per week. His old bills used to be 600 dollars a week. He has decided to add a hundred dollar a week personal trainer, as well as invest in a weekly investment plan of 50 dollars.
As well, the government has introduced variable rates of taxation. Mark is now taxed at 10% for the first 200 dollars earned per week, and 20% for the remaining amount of money earned each week.
Taking into account the increased expenses and the taxation rates, how much does Mark have leftover a week? | Mark got a 5% raise at his job. Before the raise, he earned 40 dollars per hour. He works 8 hours per day for 5 days per week. His old bills used to be 600 dollars a week. He has decided to add a hundred dollar a week personal trainer, as well as invest in a weekly investment plan of 50 dollars.
As well, the government has introduced variable rates of taxation. Mark is now taxed at 10% for the first 200 dollars earned per week, and 20% for the remaining amount of money earned each week.
Taking into account the increased expenses and the taxation rates, how much does Mark have leftover a week? |
1 | 11 | the product of 3 consecutive numbers is 210, and the sum of their squares is the smallest possible. Then the sum of the smallest two numbers is ? | the product of 3 consecutive numbers is 210, and the sum of their squares is the smallest possible. Then the sum of the smallest two numbers is ? |
1 | 300 | Jack starts with 1,000 marbles. He shares marbles with Rebecca in the ratio of 7:3, which can also be represented as giving 70% of his marbles to Rebecca. How many marbles does Jack end up with after sharing with Rebecca? | Jack starts with 1,000 marbles. He shares marbles with Rebecca in the ratio of 7:3, which can also be represented as giving 70% of his marbles to Rebecca. How many marbles does Jack end up with after sharing with Rebecca? |
1 | 150 | Kim can do a work in 3 days while David can do the same work in 2 days. Both of them finish the work together and get a certain amount. The share of Kim is Rs. 60. What is the total amount they get for the work? | Kim can do a work in 3 days while David can do the same work in 2 days. Both of them finish the work together and get a certain amount. The share of Kim is Rs. 60. What is the total amount they get for the work? |
1 | 0.75 | You go out for a long walk. You walk some distance and then sit down to take a rest. Then you walk 0.25 of a mile. You walked 1 mile altogether. How far did you walk before taking a rest? | You go out for a long walk. You walk some distance and then sit down to take a rest. Then you walk 0.25 of a mile. You walked 1 mile altogether. How far did you walk before taking a rest? |
1 | 23 | When dividing a number by 3, the quotient is 7 and the remainder is 2. What is the dividend? | When dividing a number by 3, the quotient is 7 and the remainder is 2. What is the dividend? |
1 | 8 | Maria was buying DVDs of her old favorite TV series. She bought some DVDs at the store and two online. She bought a total of 10 DVDs. How many DVDs did she buy at the store? | Maria was buying DVDs of her old favorite TV series. She bought some DVDs at the store and two online. She bought a total of 10 DVDs. How many DVDs did she buy at the store? |
1 | 1 | Jack received 3 emails in the afternoon, 6 emails in the morning, and some more in the evening. In the evening, he received x emails from person A and y emails from person B. If he received a total of 10 emails in the day, how many emails did Jack receive in the evening, expressed in the form x + y? | Jack received 3 emails in the afternoon, 6 emails in the morning, and some more in the evening. In the evening, he received x emails from person A and y emails from person B. If he received a total of 10 emails in the day, how many emails did Jack receive in the evening, expressed in the form x + y? |
1 | \$4 | Dan's car gets 32 miles per gallon. If gas costs a certain amount per gallon, then Dan's car can go 336 miles on $42 of gas. How much does gas cost per gallon? | Dan's car gets 32 miles per gallon. If gas costs a certain amount per gallon, then Dan's car can go 336 miles on $42 of gas. How much does gas cost per gallon? |
1 | 0.03 | The closest approximation of d (69.28 × 0.004) / a number is 9.237333333333334. What is the number? | The closest approximation of d (69.28 × 0.004) / a number is 9.237333333333334. What is the number? |
1 | 11 | Theresa has 5 more than thrice as many video games as Julia. Julia has a third as many video games as Tory, and Tory has twice as many video games as Alex. If Tory has 6 video games and Alex has half the video games Theresa has, how many video games does Theresa have? | Theresa has 5 more than thrice as many video games as Julia. Julia has a third as many video games as Tory, and Tory has twice as many video games as Alex. If Tory has 6 video games and Alex has half the video games Theresa has, how many video games does Theresa have? |
1 | 5.6 | a and b together can do a work in 4 days . if a alone can do it in 14 days . in how many days can b alone do it ? | a and b together can do a work in 4 days . if a alone can do it in 14 days . in how many days can b alone do it ? |
1 | \$775.00 | Joanne makes $16.00 working at her main job for 8 hours a day. She has a part-time job, working an extra 2 hours a day where she makes $13.50 an hour. How much money does she make if she works this schedule 5 days a week? | Joanne makes $16.00 working at her main job for 8 hours a day. She has a part-time job, working an extra 2 hours a day where she makes $13.50 an hour. How much money does she make if she works this schedule 5 days a week? |
1 | 64 | There are 6 positive integers, from 2 to some ending number, inclusive, that are not divisible by odd integers greater than 1. What is the ending number? | There are 6 positive integers, from 2 to some ending number, inclusive, that are not divisible by odd integers greater than 1. What is the ending number? |
1 | \$90 | Angela won a contest and got some money to spend at Puzzle Palace. She bought many wonderful puzzles and had $12 left. She spent $78. How much money did she get to spend at Puzzle Palace? | Angela won a contest and got some money to spend at Puzzle Palace. She bought many wonderful puzzles and had $12 left. She spent $78. How much money did she get to spend at Puzzle Palace? |
1 | 19 | Tom Johnson is 1 year less than twice as old as his sister, Carla. Their brother, Dave, is 3 years older than Carla. Their youngest sibling, Emily, is half the age of Carla. If the sum of their ages is 48 years, how old is Tom? | Tom Johnson is 1 year less than twice as old as his sister, Carla. Their brother, Dave, is 3 years older than Carla. Their youngest sibling, Emily, is half the age of Carla. If the sum of their ages is 48 years, how old is Tom? |
1 | 30 | a car traveling at a certain constant speed takes 20 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 36 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ? | a car traveling at a certain constant speed takes 20 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 36 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ? |
1 | \$20 | A store owner buys clothes wholesale and adds 80% to the wholesale price to set the retail price. The retail price of a pair of pants is $36. What is the wholesale price? | A store owner buys clothes wholesale and adds 80% to the wholesale price to set the retail price. The retail price of a pair of pants is $36. What is the wholesale price? |
1 | \$119 | Donna, along with her three friends, found some money. They decided to split the money using an unusual method: Donna got 5/17 of the money, Friend A got 37%, Friend B got 1/4, and Friend C got the remaining amount. If Donna received $35, how much money did they find in total? | Donna, along with her three friends, found some money. They decided to split the money using an unusual method: Donna got 5/17 of the money, Friend A got 37%, Friend B got 1/4, and Friend C got the remaining amount. If Donna received $35, how much money did they find in total? |
1 | 7 | Julio has four bottles of orange soda and some bottles of grape soda in his fridge. His friend Mateo has a bottle of orange soda and 3 bottles of grape soda in his fridge. If the amount of beverage in each bottle is 2 liters, and Julio has 14 more liters of soda, how many bottles of grape soda does Julio have? | Julio has four bottles of orange soda and some bottles of grape soda in his fridge. His friend Mateo has a bottle of orange soda and 3 bottles of grape soda in his fridge. If the amount of beverage in each bottle is 2 liters, and Julio has 14 more liters of soda, how many bottles of grape soda does Julio have? |
1 | 5 | Nicky and Cristina are running a 500-meter race. Since Cristina is faster than Nicky, she gives him a 12-second head start. Cristina runs at a pace of 5 meters per second. Nicky runs for 30 seconds before Cristina catches up to him. What is Nicky's pace in meters per second? | Nicky and Cristina are running a 500-meter race. Since Cristina is faster than Nicky, she gives him a 12-second head start. Cristina runs at a pace of 5 meters per second. Nicky runs for 30 seconds before Cristina catches up to him. What is Nicky's pace in meters per second? |
1 | 31 | Isha's pencil is some inches long. If she sharpens it, now her pencil is 14 inches long. She sharpened 17 inches off her pencil. How long was her pencil before sharpening? | Isha's pencil is some inches long. If she sharpens it, now her pencil is 14 inches long. She sharpened 17 inches off her pencil. How long was her pencil before sharpening? |
1 | 900 | if 1 / 4 of the passengers on a ship are from North America, 2 / 15 are Europeans, 1 / 5 are from Africa, 1 / 6 are from Asia, 1 / 12 are from South America, 1 / 20 are from Oceania, and the remaining 105 people are citizens from other regions (such as Antarctica and international waters), then how many passengers are on board the ship? | if 1 / 4 of the passengers on a ship are from North America, 2 / 15 are Europeans, 1 / 5 are from Africa, 1 / 6 are from Asia, 1 / 12 are from South America, 1 / 20 are from Oceania, and the remaining 105 people are citizens from other regions (such as Antarctica and international waters), then how many passengers are on board the ship? |
1 | 46.74 | Jerry wakes up one morning and finds the thermostat set to 40 degrees. He sets it to double the initial temperature. His dad notices, yells at Jerry, and reduces the temperature by 30 degrees. Later, Jerry's mother reduces the temperature by 30%, before his sister increases it by 24 degrees. Then, Jerry's grandmother lowers it by 10%, while his cousin raises it by 8 degrees. After that, his uncle increases the temperature by 20%, and finally, his aunt decreases it by 15 degrees. Now, Jerry's best friend comes over and multiplies the temperature by 3/4 and then adds the square root of 9. What is the final temperature after everyone's adjustments including the best friend's modifications? | Jerry wakes up one morning and finds the thermostat set to 40 degrees. He sets it to double the initial temperature. His dad notices, yells at Jerry, and reduces the temperature by 30 degrees. Later, Jerry's mother reduces the temperature by 30%, before his sister increases it by 24 degrees. Then, Jerry's grandmother lowers it by 10%, while his cousin raises it by 8 degrees. After that, his uncle increases the temperature by 20%, and finally, his aunt decreases it by 15 degrees. Now, Jerry's best friend comes over and multiplies the temperature by 3/4 and then adds the square root of 9. What is the final temperature after everyone's adjustments including the best friend's modifications? |
1 | 25\% | In an examination, a certain percentage of total students failed in Hindi, 48% failed in English, and 27% failed in both. The percentage of students who passed in both the subjects is 54%. What is the percentage of students who failed in Hindi? | In an examination, a certain percentage of total students failed in Hindi, 48% failed in English, and 27% failed in both. The percentage of students who passed in both the subjects is 54%. What is the percentage of students who failed in Hindi? |
1 | 2 | In a box of 12 pens, a total of 4 are defective. If a customer buys a certain number of pens selected at random from the box, the probability that neither pen will be defective is 0.4242424242424242. How many pens does the customer buy? | In a box of 12 pens, a total of 4 are defective. If a customer buys a certain number of pens selected at random from the box, the probability that neither pen will be defective is 0.4242424242424242. How many pens does the customer buy? |
1 | 2 | Robin's hair was 14 inches long. It grew by 8 inches. Then he cut off 20 inches. How long is his hair now? | Robin's hair was 14 inches long. It grew by 8 inches. Then he cut off 20 inches. How long is his hair now? |
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